Search a number
-
+
131333121132 = 223101349310489
BaseRepresentation
bin111101001010000010…
…0000110010001101100
3110112222211102211000120
41322110010012101230
54122432234334012
6140200020324540
712326362052613
oct1722404062154
9415884384016
10131333121132
1150775139834
1221553243750
13c5001382c5
1464dc56c87a
153639de758c
hex1e9410646c

131333121132 has 48 divisors (see below), whose sum is σ = 310365804000. Its totient is φ = 43219929600.

The previous prime is 131333121103. The next prime is 131333121197. The reversal of 131333121132 is 231121333131.

It is a super-2 number, since 2×1313331211322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267744 + ... + 578232.

It is an arithmetic number, because the mean of its divisors is an integer number (6465954250).

Almost surely, 2131333121132 is an apocalyptic number.

131333121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131333121132 is an abundant number, since it is smaller than the sum of its proper divisors (179032682868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131333121132 is a wasteful number, since it uses less digits than its factorization.

131333121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310946 (or 310944 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 131333121132 its reverse (231121333131), we get a palindrome (362454454263).

The spelling of 131333121132 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 101 202 303 349 404 606 698 1047 1212 1396 2094 4188 35249 70498 105747 140996 211494 310489 422988 620978 931467 1241956 1862934 3725868 31359389 62718778 94078167 108360661 125437556 188156334 216721322 325081983 376312668 433442644 650163966 1300327932 10944426761 21888853522 32833280283 43777707044 65666560566 131333121132